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113103322112 = 2101123436571
BaseRepresentation
bin110100101010101111…
…0111011110000000000
3101210221100212002000002
41221111132323300000
53323113422301422
6123543044415132
711112543242534
oct1512536736000
9353840762002
10113103322112
1143a6a970a30
1219b060a74a8
13a886419091
14568d403bc4
152e1e79a692
hex1a557bbc00

113103322112 has 88 divisors (see below), whose sum is σ = 257374910592. Its totient is φ = 49175244800.

The previous prime is 113103322097. The next prime is 113103322117. The reversal of 113103322112 is 211223301311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×1131033221122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113103322117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40787 + ... + 477357.

Almost surely, 2113103322112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113103322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128687455296).

113103322112 is an abundant number, since it is smaller than the sum of its proper divisors (144271588480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113103322112 is a wasteful number, since it uses less digits than its factorization.

113103322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436625 (or 436607 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 113103322112 its reverse (211223301311), we get a palindrome (324326623423).

The spelling of 113103322112 in words is "one hundred thirteen billion, one hundred three million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 506 512 704 736 1012 1024 1408 1472 2024 2816 2944 4048 5632 5888 8096 11264 11776 16192 23552 32384 64768 129536 259072 436571 873142 1746284 3492568 4802281 6985136 9604562 10041133 13970272 19209124 20082266 27940544 38418248 40164532 55881088 76836496 80329064 110452463 111762176 153672992 160658128 220904926 223524352 307345984 321316256 441809852 447048704 614691968 642632512 883619704 1229383936 1285265024 1767239408 2458767872 2570530048 3534478816 4917535744 5141060096 7068957632 10282120192 14137915264 28275830528 56551661056 113103322112